Marissa gets on a Ferris wheel at its lowest point, 3m of the ground. The Ferris Wheel spins clockwise to a maximum height of 103m, making a complete cycle in 5 mins. a. Write a set of parametric equation to model Marissa's position b. Where will Marissa be in 2 minutes? c. Where will Marissa be in 4 minutes?

Q: Write parametric equations to describe the curves traced by the following motions

A: The rectangular equation of the circle with center at 0, 0 and radius 2 is given as follows:…

Q: In the given equation as follows ,  find a set of parametric equations for the line or conic :- see…

A:

Q: Graph the parametric graph and find the corresponding rectangular equation by eliminating the…

A: Given,

Q: Graph the line and conic section. r = 4 sec (u + pi/6)

A: General equation of a line is given as y = mx + c, where m is the slope of line and c is the…

Q: 23. Consider the circle x² + y² = R². (a) Write down parametric equations to traverse the circle…

A: Given equation of circle is x2+y2=R2. To determine: Parametric equations to transverse the circle.…

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Hyperbola: x = h +…

A: Hyperbola: x = h + a sec θ, y = k + b tan θ We need to eliminate the parameter to obtain the…

Q: A rocket is launched from the ground with a velocity of 28 feet per second at an angle of 60 degrees…

A:

Q: Find a set of parametric equations for the parabola whose equation is y = 9 - x2.

A: Given equation is, y=9-x2

Q: snip

A:

Q: Rewrite the following parametric equation in rectangular form. x = 4 – t y = 7 + 4t

A: Given equations are : x=4-ty=7+4t

Q: Write each pair of parametric equations in rectangular form. Then sketch the curve. 8) x= 4cos t+ 1,…

A:

Q: Which of the following are parametric equations for the ellipse given by 9 apply. + y² = 1? Choose…

A:

Q: Find two different pairs of parametric equations for y = - 2x + 4.

A: The given equation is: y=-2x+4 Consider, x=t Then, y=-2t+4

Q: ) Write the parametric equations x = x = 2t-t³, y = 3 - 2t in the given Cartesian form.

A:

Q: be the equation 12x2 + 12x y + 7y2 − 4x + 6y − 1 = 0. a)  Determine the nature of the conic. b) Find…

A: The solution are next step

Q: Consider the following parametric equations: 12 - 8 3t – 16 and y = 2 X = 2 Step 2 of 2: Plot the…

A:

Q: Find two different sets of parametric equations for the rectangular equation   y = x3

A: y=x3 Let x=t, then y=t3 Let x=t+1, then y=t+13

Q: The path of a marble rolling off of a desk can be modeled by the parametric equations: x(t}=2.5t…

A: The equation of the trajectory can give the details about the position of the object at a time t. If…

Q: Come up with a parametric description of the circle (x- 2)° +(y+4)* = 9. Make it so that the circle…

A:

Q: Find parametric equations for an object moving clockwise along the ellipse 25 -1 beginning at (0,2)…

A:

Q: Find two different sets of parametric equations for the rectangular equation y = 4x - 3.

A:

Q: Write the parametric equations in rectangular form. y= 2f + 6 x = 5t – 8 -

A: Given,           The parametric equations are             y=2t2+6             x=5t-8

Q: Cannot solve

A:

Q: Explain how you would graph the following set of parametric equations by plotting points and…

A:

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= 5 y= f10…

A: Write the following parametric equation in cartesian equation

Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the…

A:

Q: Show by eliminating the parameter θ that the following parametric equations represent a hyperbola: x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: In two or more complete sentences, explain how to find the time it takes for a rocket follow 3t and…

A: Introduction: A parametric equation is a type of equation that uses an independent variable called a…

Q: Graph the following parametric equations by hand, using values of t in [- 2,2]. Make a table of t-,…

A: We will use the table to find solution to the problem .

Q: Write a set of parametric equations for each of the following graphs. 11. 12.

A: Consider the given: 11) Find the equation of given line. Mark the coordinates as given: Find the…

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

A:

Q: Find the solution set in parametric form of the following system: I + 211 + -211 I3 + 214 %3D

A: We have to find the parametric form of the given set of equations.

Q: Graph the curve whose parametric equations are given, and show its orientation. Find the rectangular…

A:

Q: Find the parametric equation of the equation below: y-1 3 +2

A: Given problem is :

Q: Find the Cartesian equation of the curve defined by the following parametric equations . after…

A:

Q: Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y=…

A:

Q: x+4 5 y-2 -5 2+1 1

A: Given the equation is x+45=y-2-5=z+11

Q: Find two different sets of parametric equations for the rectangular equation: y = 2x - 5.

A: Given, y=2x-5

Q: Find the Cartesian equation and graph the curve whose parametric equations are: X=-2+3t Y=1-2t

A: The given parametric equations are X=-2+3t and Y=1-2t To find the cartesian equation of the given…

Q: Find two sets of parametric equations for the given rectangular equation. y = 8x + 4

A:

Q: 1) Be the equation:      4x^2 − 24x y + 11y^2 + 56x − 58y + 95 = 0. 1a) Determine the nature of…

A:

Q: Which of the following are parametric equations for the entire unit circle? Choose all that apply.

A: We have to go option by option.

Q: Graph the curve whose parametric equations are given, and show its orientation. Find the rectangular…

A:

Q: Find a set of parametric equations for the parabola whose equation is y = x2 - 25.

A: We have to find a set of the parametric equation for the given parabola    y=x2-25   Consider the…

Q: Determine whether the statement " The graph of the parametric equations      x = t2 and y = t2 is…

A: Given: The graph of the parametric equations      x = t2 and y = t2 is the line y = x

Q: be the equation 12x2 + 12x y + 7y2 − 4x + 6y − 1 = 0. a)  Determine the nature of the conic. b) Find…

A: Given

Q: The path of a marble rolling off of a desk can be modeled by the parametric equations: x(t)=2.5t…

A:

Q: Write the parametric equations, x= 2et   y= 5e-t ,  as a function of x in Cartesian form.

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.